The stability and bifurcations of viscoelastic microcantilevers is investigated via the Kelvin–Voigt scheme and the modiﬁed couple stress (MCS) theory. All the nonlinearities due to large deformations (due to the movement of the free end) are taken into account. The viscous segments of the deviatoric segment of the symmetric couple stress tensor and the stress tensor itself are considered. The energy loss due to viscosity is balanced with the energy input to the microcantilever. The equations for the transverse and axial motions are obtained and the inextensibility condition is applied, yielding an integro-partial-differential equation with inertial and stiffness nonlinearities. A continuation method is used for numerical solutions, with highlighting the viscosity effect on the large-amplitude motions. 1 Introduction viscosity in a structure. The Kelvin–Voigt scheme is used in this study (Ghayesh et al. 2016b). Many micromachines, such as airbag accelerometers, Being small (Farokhi et al. 2013; Gholipour et al. 2015; microresonators, micro energy harvesters, microswitches, Ghayesh et al. 2017a) is another characteristic of mass-ﬂow sensors, and pressure sensors work based on the microstructures, which induces additional stiffness, where vibrations or deformations of micro scale structures such as depending on the application, can enhance or lessen the microbeams, microplates and
Microsystem Technologies – Springer Journals
Published: Jun 5, 2018
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